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SAT - Math - Algebra

If a= 5 sqrt(2) and 2a = sqrt(2x), what is the value of x

If a= 5 (2) and 2a =(2x), what is the value of x

Given:

a= 5 √(2) and 2a =√(2x)

 

i.e.

2*5√2 = √2x

squaring both sides

4*25*2 = 2x

x = 100

Making a subject in 2a=√(2x) a= √(2x) /2 Then 5√2 = √(2x) /2 multiplying both sides by 2 10√2=√(2x) Squaring both sides Then 200= 2x Divide both sides by 2 x = 100

Making a subject in 2a=√(2x) a= √(2x) /2 Then 5√2 = √(2x) /2 multiplying both sides by 2 10√2=√(2x) Squaring both sides Then 200= 2x Divide both sides by 2 x = 100

Making a subject in 2a=√(2x) a= √(2x) /2 Then 5√2 = √(2x) /2 multiplying both sides by 2 10√2=√(2x) Squaring both sides Then 200= 2x Divide both sides by 2 x = 100